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3 years ago

What is y=(x+5)(x+4) in standard form?

Mathematics

1 answer:

Helen [10]3 years ago

4 0

It is already in standard form.

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A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

3 years ago

ASAP! 70 points! Yan has already finished 3/4 of the 45 math problems he was assigned today. Each math problem took him 1 and 4/

siniylev [52]

I would help but Can u add a pic or something for more understanding

7 0

3 years ago

What two equivalent fraction for 1/5

Julli [10]

Answer:

2 over 10 and 4 over 20

Step-by-step explanation:

3 0

3 years ago

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Question above please help due in a few minutes

nexus9112 [7]

Answer:

Step-by-step explanation:

here x $\geq$ 3

the circle is filled so it includes the value

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3 years ago

David earned a gross pay of $160 for one week. He worked 20 hours. What is his hourly wage?

NikAS [45]

Answer:

Step-by-step explanation:

160 divided by 20 hours = 8.

David has a 8 hourly wage.

5 0

3 years ago

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